Finite difference method for numerical solution to a~boundary value problem for a~mixed difference differential equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 345-355
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A boundary value problem for a mixed linear difference differential equation in a bounded rectangular
domain is considered. A difference scheme for the problem is constructed. Stability, existence, and uniqueness of the solution of arising system of difference equations is proved. Weak convergence of approximations to the
generalized solution of the considered boundary value problem is also proved.
@article{SJVM_2000_3_4_a5,
author = {A. V. Kopylov},
title = {Finite difference method for numerical solution to a~boundary value problem for a~mixed difference differential equation},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {345--355},
publisher = {mathdoc},
volume = {3},
number = {4},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a5/}
}
TY - JOUR AU - A. V. Kopylov TI - Finite difference method for numerical solution to a~boundary value problem for a~mixed difference differential equation JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2000 SP - 345 EP - 355 VL - 3 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a5/ LA - ru ID - SJVM_2000_3_4_a5 ER -
%0 Journal Article %A A. V. Kopylov %T Finite difference method for numerical solution to a~boundary value problem for a~mixed difference differential equation %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2000 %P 345-355 %V 3 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a5/ %G ru %F SJVM_2000_3_4_a5
A. V. Kopylov. Finite difference method for numerical solution to a~boundary value problem for a~mixed difference differential equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 345-355. http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a5/